Parseval's Identity for Low-Dimensional Nilpotent Lie Groups G<sub>5,1</sub>, G<sub>5,2</sub>, G<sub>5,3</sub> and G<sub>5,5</sub>

Authors

  • CR Bhatta Central Department of Mathematics Tribhuvan University, Kirtipur, Kathmandu

DOI:

https://doi.org/10.3126/kuset.v5i1.2844

Keywords:

Fourier transform, Hilbert schmidt norm, Kernel function

Abstract

We prove the Parseval's identity for low-dimensional nilpotent Lie groups such as G5,1, G5,2, G5,3 and G5,5 respectively which are important for proving Hardy uncertainty principles type result.

Keywords: Fourier transform; Hilbert schmidt norm; Kernel function.

DOI: 10.3126/kuset.v5i1.2844

Kathmandu University Journal of Science, Engineering and Technology Vol.5, No.1, January 2009, pp 23-30

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How to Cite

Bhatta, C. (2010). Parseval’s Identity for Low-Dimensional Nilpotent Lie Groups G<sub>5,1</sub>, G<sub>5,2</sub>, G<sub>5,3</sub> and G<sub>5,5</sub>. Kathmandu University Journal of Science, Engineering and Technology, 5(1), 23–30. https://doi.org/10.3126/kuset.v5i1.2844

Issue

Vol. 5 No. 1 (2009)

Section

Original Research Articles

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